Answer:
95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.
Step-by-step explanation:
Confidence interval is given as mean +/- margin of error (E)
Data: 5, 15, 12, 22, 27
mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months
sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months
n = 5
degree of freedom = n-1 = 5-1 = 4
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776
E = t×sd/√n = 2.776×7.68/√5 = 9.53 months
Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months
Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months
95% confidence interval is (6.67, 25.73)
Answer:
um 18 lol
Step-by-step explanation:
Please mark brainliest
Based on my knowledge, you’d set both equations equal to y, and then set both sides equal to each other then solve.
y=-5+x
y=-2x-4
-5+x=-2x-4
then solve from there
(this could be completely wrong, so don’t only go by my opinion)
so translation means that the points are moving on the graph
so the shape is moving down three then left two
it doesn’t change the shape in any way it just moves the shape
so all the sides and angles are the same
so the polygon is completely congruent with the premise and image since the shape didn’t change
Answer:126
Step-by-step explanation: your welcome
